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After a classical presentation of quadratic mappings and Clifford algebras over arbitrary rings (commutative, associative, with unit), other topics involve more original methods: interior multiplications allow an effective treatment of deformations of Clifford algebras; the relations between automorphisms of quadratic forms and Clifford algebras are based on the concept of the Lipschitz monoid, from which several groups are derived; and the Cartan-Chevalley theory of hyperbolic spaces becomes much more general, precise and effective.
Clifford algebras. --- Forms, Quadratic. --- Quadratic forms --- Diophantine analysis --- Forms, Binary --- Number theory --- Geometric algebras --- Algebras, Linear --- Algebra. --- Mathematics --- Mathematical analysis
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